Folding only adds numbers together, so the total never changes. Both strips add up to 36. Your largest target number, 24, must be a stack of several cells added together.
Hint 2: the length budget
The strip has 10 cells and the target has 3, so the folds together must remove 7 cells. A fold removes as many cells as its shorter side has.
Hint 3: the first fold
The first fold goes between cell 1 and cell 2, counting cells from the left.
Full solution
Show every fold
Fold 1 of 4
1442543625→542543625
Fold between cell 1 and cell 2. The left side flips over the right side.
Fold 2 of 4
542543625→951075
Fold between cell 4 and cell 5. The left side flips over the right side.
Fold 3 of 4
951075→141075
Fold between cell 1 and cell 2. The left side flips over the right side.
Fold 4 of 4
141075→2475
Fold between cell 1 and cell 2. The left side flips over the right side.